Logo

Mathematical Sciences Research Institute

Home » Research Seminar: Scalar conservation laws with random data

Seminar

Research Seminar: Scalar conservation laws with random data November 18, 2015 (10:00 AM PST - 11:30 AM PST)
Parent Program:
Location: MSRI: Simons Auditorium
Speaker(s) Govind Menon (Brown University)
Description No Description
Video
No Video Uploaded
Abstract/Media

Ensembles of solutions to partial differential equations underly mathematical theories of turbulence and phase transitions. However, our understanding of such ensembles for even well-understood PDE is quite modest. This should be expected, since in rigorous terms, an "ensemble" is a probability measure supported on the space of solutions.

 

I will describe several results on the deterministic evolution of spatially random data by scalar conservation laws with a convex flux. The (surprising) punchline is that the evolution of the law of the solution is determined by a completely integrable system of kinetic equations that describes the clustering of shocks. 

No Notes/Supplements Uploaded No Video Files Uploaded